2012

The Linear Algebra a Beginning Graduate Student Ought to Know

Authors:

ISBN: 978-94-007-2635-2 (Print) 978-94-007-2636-9 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages I-XI

  2. No Access

    Book Chapter

    Pages 1-3

    Notation and Terminology

  3. No Access

    Book Chapter

    Pages 5-19

    Fields

  4. No Access

    Book Chapter

    Pages 21-38

    Vector Spaces Over a Field

  5. No Access

    Book Chapter

    Pages 39-56

    Algebras Over a Field

  6. No Access

    Book Chapter

    Pages 57-88

    Linear Independence and Dimension

  7. No Access

    Book Chapter

    Pages 89-111

    Linear Transformations

  8. No Access

    Book Chapter

    Pages 113-131

    The Endomorphism Algebra of a Vector Space

  9. No Access

    Book Chapter

    Pages 133-146

    Representation of Linear Transformations by Matrices

  10. No Access

    Book Chapter

    Pages 147-188

    The Algebra of Square Matrices

  11. No Access

    Book Chapter

    Pages 189-220

    Systems of Linear Equations

  12. No Access

    Book Chapter

    Pages 221-253

    Determinants

  13. No Access

    Book Chapter

    Pages 255-296

    Eigenvalues and Eigenvectors

  14. No Access

    Book Chapter

    Pages 297-316

    Krylov Subspaces

  15. No Access

    Book Chapter

    Pages 317-332

    The Dual Space

  16. No Access

    Book Chapter

    Pages 333-367

    Inner Product Spaces

  17. No Access

    Book Chapter

    Pages 369-394

    Orthogonality

  18. No Access

    Book Chapter

    Pages 395-418

    Selfadjoint Endomorphisms

  19. No Access

    Book Chapter

    Pages 419-440

    Unitary and Normal Endomorphisms

  20. No Access

    Book Chapter

    Pages 441-452

    Moore–Penrose Pseudoinverses

  21. No Access

    Book Chapter

    Pages 453-478

    Bilinear Transformations and Forms

  22. Back Matter

    Pages 479-497